Dec 4 Polynomial Zeros

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the greatest exponent on the variable in the polynomial.

Front

What is the degree of the polynomial (x-1)(x+5)?

Back

The degree is 2.

Front

Back

The polynomial has 2 zeros.

Front

Back

x = 1 and x = -5.

Front

What is a zero of a polynomial?

Back

A zero of a polynomial is a value of x that makes the polynomial equal to zero.

Front

How do you find the zeros of a polynomial?

Back

To find the zeros, set the polynomial equal to zero and solve for x.

Front

What is the Fundamental Theorem of Algebra?

Back

The Fundamental Theorem of Algebra states that a polynomial of degree n has exactly n roots (including multiplicities) in the complex number system.

Front

What is the relationship between the degree of a polynomial and the number of zeros?

Back

The degree of a polynomial indicates the maximum number of zeros it can have.

Front

What is a linear polynomial?

Back

Front

What is a quadratic polynomial?

Back